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One way to find the square root of a number is an iterative method. This entails making a guess at the answer and then improving on it. Repeating the procedure should lead to a better estimate at each stage. One such method is the Newton-Raphson method.
To start with, if you want to find the cube root if k, define f(x) = x3 - k.
Then finding the cube root of k is equivalent to solving f(x) = 0.
Let f'(x) = 3x2. This is the derivative of f(x) but that is not important for simply using the N-R method.
Start with x0 as the first guess.
Then let xn+1 = xn - f(xn)/f'(xn) for n = 0, 1, 2, …
After a few iterations, xn will be very close to the required root.
What else can I help you with?
What are the operations on cubic root?
The main operation on the cubic root is finding the value of the cubic root of a number. This is commonly represented by using the symbol ∛, such as ∛x. Other related operations include estimating the value of the cubic root, solving equations involving cubic roots, and using properties of cubic roots in mathematical calculations.
What is the number that it's cubic root of its square root equals its square root of its cubic root?
That would be a number to the 6th power, like 64.
How would you find the cubic root of a number on a calculator that only has square root?
If the calculator has a power function, you can calculate your number to the power (1/3). This is equivalent to the third (cubic) root. But you can't use the square root to calculate the cubic root. If all else fails, you can try the brute-force approach, raising different numbers to the third power (multiplying the number by itself), until you find a decent approximation. For example, you want the cubic root of 6: 1 x 1 x 1 = 1, and 2 x 2 x 2 = 8, so the cubic root of 6 is between 1 and 2.If the calculator has a power function, you can calculate your number to the power (1/3). This is equivalent to the third (cubic) root. But you can't use the square root to calculate the cubic root. If all else fails, you can try the brute-force approach, raising different numbers to the third power (multiplying the number by itself), until you find a decent approximation. For example, you want the cubic root of 6: 1 x 1 x 1 = 1, and 2 x 2 x 2 = 8, so the cubic root of 6 is between 1 and 2.If the calculator has a power function, you can calculate your number to the power (1/3). This is equivalent to the third (cubic) root. But you can't use the square root to calculate the cubic root. If all else fails, you can try the brute-force approach, raising different numbers to the third power (multiplying the number by itself), until you find a decent approximation. For example, you want the cubic root of 6: 1 x 1 x 1 = 1, and 2 x 2 x 2 = 8, so the cubic root of 6 is between 1 and 2.If the calculator has a power function, you can calculate your number to the power (1/3). This is equivalent to the third (cubic) root. But you can't use the square root to calculate the cubic root. If all else fails, you can try the brute-force approach, raising different numbers to the third power (multiplying the number by itself), until you find a decent approximation. For example, you want the cubic root of 6: 1 x 1 x 1 = 1, and 2 x 2 x 2 = 8, so the cubic root of 6 is between 1 and 2.
What is the cube root of 4.4?
cubic root(4.4)= 1.638642541==========
What cubic root of 6859?
19
